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2113330431330 = 232562597375121
BaseRepresentation
bin11110110000001100010…
…011110100010101100010
321111000212122001021020200
4132300030103310111202
5234111100042300310
64254503421250030
7305453204163606
oct36601423642542
97430778037220
102113330431330
11745292a30288
122a16b2103916
13124394a399b1
14744000d1506
1539e8c6899c0
hex1ec0c4f4562

2113330431330 has 48 divisors (see below), whose sum is σ = 5494761547704. Its totient is φ = 563544276480.

The previous prime is 2113330431323. The next prime is 2113330431337. The reversal of 2113330431330 is 331340333112.

2113330431330 is a `hidden beast` number, since 2 + 1 + 13 + 3 + 304 + 313 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (2113330431323) and next prime (2113330431337).

It can be written as a sum of positive squares in 4 ways, for example, as 1680028153281 + 433302278049 = 1296159^2 + 658257^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2113330431294 and 2113330431303.

It is not an unprimeable number, because it can be changed into a prime (2113330431337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5446170 + ... + 5821290.

Almost surely, 22113330431330 is an apocalyptic number.

2113330431330 is an abundant number, since it is smaller than the sum of its proper divisors (3381431116374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2113330431330 is a wasteful number, since it uses less digits than its factorization.

2113330431330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437731 (or 437728 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2113330431330 its reverse (331340333112), we get a palindrome (2444670764442).

The spelling of 2113330431330 in words is "two trillion, one hundred thirteen billion, three hundred thirty million, four hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 62597 125194 187791 312985 375121 375582 563373 625970 750242 938955 1125363 1126746 1875605 1877910 2250726 2816865 3376089 3751210 5626815 5633730 6752178 11253630 16880445 33760890 23481449237 46962898474 70444347711 117407246185 140888695422 211333043133 234814492370 352221738555 422666086266 704443477110 1056665215665 2113330431330